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Finding the Fourth Proportional to 165,763.20, 248,061.60 and 151,766.40

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Solution

The fourth proportional to 165,763.20, 248,061.60 and 151,766.40 is: 227,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,763.20 : 248,061.60 = 151,766.40 : x
  2. Step 2: Convert to fraction form
    165,763.20/248,061.60 = 151,766.40/x
  3. Step 3: Cross multiply
    165,763.20x = 248,061.60 × 151,766.40
  4. Step 4: Simplify right side
    165,763.20x = 37,647,416,010.24
  5. Step 5: Solve for x
    x = 37,647,416,010.24/165,763.20
  6. Step 6: Final answer
    x = 227,115.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.